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ISSN 1088-6850(e) ISSN 0002-9947(p)

Symmetry of ground states for a semilinear elliptic system

Author(s): Henghui Zou
Journal: Trans. Amer. Math. Soc. 352 (2000), 1217-1245.
MSC (1991): Primary 35B40, 35J60
Posted: September 20, 1999
MathSciNet review: 1675167
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Abstract | References | Similar articles | Additional information

Abstract: Let $n\ge 3$ and consider the following system

$\begin{equation*}\Delta \mathbf{u}+\mathbf{f}(\mathbf{u})=0,\quad \mathbf{u}>0,\qquad x\in\mathbf{R}^n.\end{equation*}$

By using the Alexandrov-Serrin moving plane method, we show that under suitable assumptions every slow decay solution of (I) must be radially symmetric.

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22.: H. Zou, in preparation.

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